Hochster, Melvin; Jeffries, Jack Extensions of primes, flatness, and intersection flatness. (English) Zbl 1489.13011 Baeth, Nicholas R. (ed.) et al., Commutative algebra. 150 years with Roger and Sylvia Wiegand. Combined proceedings: second international meeting on commutative algebra and related areas, SIMCARA, Universidade de São Paulo, São Carlos, Brazil, July 22–26, 2019 and AMS special session on commutative algebra. In celebration of the 150th birthday of Roger and Sylvia Wiegand, University of Wisconsin-Madison, Wisconsin, September 14–15, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 773, 63-81 (2021). MSC: 13B02 13B10 13B40 13C11 PDFBibTeX XMLCite \textit{M. Hochster} and \textit{J. Jeffries}, Contemp. Math. 773, 63--81 (2021; Zbl 1489.13011) Full Text: DOI arXiv
Güntürkün, Sema; Hochster, Melvin The Eisenbud-Green-Harris conjecture for defect two quadratic ideals. (English) Zbl 1457.13025 Math. Res. Lett. 27, No. 5, 1341-1365 (2020). MSC: 13C40 13D22 PDFBibTeX XMLCite \textit{S. Güntürkün} and \textit{M. Hochster}, Math. Res. Lett. 27, No. 5, 1341--1365 (2020; Zbl 1457.13025) Full Text: DOI arXiv
Epstein, Neil; Hochster, Melvin Continuous closure, axes closure, and natural closure. (English) Zbl 1390.13031 Trans. Am. Math. Soc. 370, No. 5, 3315-3362 (2018). Reviewer: Radoslav M. Dimitrić (New York) MSC: 13B22 13F45 13A18 46E25 13B40 13A15 PDFBibTeX XMLCite \textit{N. Epstein} and \textit{M. Hochster}, Trans. Am. Math. Soc. 370, No. 5, 3315--3362 (2018; Zbl 1390.13031) Full Text: DOI arXiv
Hochster, Melvin Homological conjectures, old and new. (English) Zbl 1127.13010 Ill. J. Math. 51, No. 1, 151-169 (2007). Reviewer: Christodor-Paul Ionescu (Bucureşti) MSC: 13D02 13D22 13D45 13A35 13C14 PDFBibTeX XMLCite \textit{M. Hochster}, Ill. J. Math. 51, No. 1, 151--169 (2007; Zbl 1127.13010)
Hochster, Melvin Big Cohen-Macaulay algebras in dimension three via Heitmann’s theorem. (English) Zbl 1078.13506 J. Algebra 254, No. 2, 395-408 (2002). MSC: 13C14 13D22 PDFBibTeX XMLCite \textit{M. Hochster}, J. Algebra 254, No. 2, 395--408 (2002; Zbl 1078.13506) Full Text: DOI
Hochster, Melvin; Huneke, Craig Tight closure of parameter ideals and splitting in module-finite extensions. (English) Zbl 0832.13007 J. Algebr. Geom. 3, No. 4, 599-670 (1994). Reviewer: C.P.L.Rhodes (Cardiff) MSC: 13B22 13B02 13A35 13C14 PDFBibTeX XMLCite \textit{M. Hochster} and \textit{C. Huneke}, J. Algebr. Geom. 3, No. 4, 599--670 (1994; Zbl 0832.13007)
Hochster, Melvin The canonical module of a ring of invariants. (English) Zbl 0693.14005 Invariant theory, Proc. AMS Spec. Sess., Denton/Tex. 1986, Contemp. Math. 88, 43-83 (1989). Reviewer: W.W.J.Hulsbergen MSC: 14L24 13D99 14L30 PDFBibTeX XML
Hochster, Melvin; Huneke, Craig Tightly closed ideals. (English) Zbl 0674.13003 Bull. Am. Math. Soc., New Ser. 18, No. 1, 45-48 (1988). Reviewer: K.Wolffhardt MSC: 13A15 13E05 13C13 PDFBibTeX XMLCite \textit{M. Hochster} and \textit{C. Huneke}, Bull. Am. Math. Soc., New Ser. 18, No. 1, 45--48 (1988; Zbl 0674.13003) Full Text: DOI
Hochster, Melvin Intersection problems and Cohen-Macaulay modules. (English) Zbl 0646.13012 Algebraic geometry, Proc. Summer Res. Inst., Brunswick/Maine 1985, part 2, Proc. Symp. Pure Math. 46, 491-501 (1987). Reviewer: J.Nishimura MSC: 13H10 13H15 13D03 14M05 PDFBibTeX XML
Dutta, Sankar P.; Hochster, M.; McLaughlin, J. E. Modules of finite projective dimension with negative intersection multiplicities. (English) Zbl 0588.13020 Invent. Math. 79, 253-291 (1985). Reviewer: W.Bruns MSC: 13H15 13D05 13D15 13C12 PDFBibTeX XMLCite \textit{S. P. Dutta} et al., Invent. Math. 79, 253--291 (1985; Zbl 0588.13020) Full Text: DOI EuDML
Hochster, Melvin Euler characteristics over unramified regular local rings. (English) Zbl 0562.13019 Ill. J. Math. 28, 281-285 (1984). Reviewer: C.P.L.Rhodes MSC: 13H05 13H15 13D99 PDFBibTeX XMLCite \textit{M. Hochster}, Ill. J. Math. 28, 281--285 (1984; Zbl 0562.13019)
Hochster, Melvin Canonical elements in local cohomology modules and the direct summand conjecture. (English) Zbl 0562.13012 J. Algebra 84, 503-553 (1983). Reviewer: U.Vetter MSC: 13D03 13D10 14B12 13D25 PDFBibTeX XMLCite \textit{M. Hochster}, J. Algebra 84, 503--553 (1983; Zbl 0562.13012) Full Text: DOI Link
Hochster, M.; McLaughlin, J. E. Splitting theorems for quadratic ring extensions. (English) Zbl 0488.13007 Ill. J. Math. 27, 94-103 (1983). MSC: 13B02 13C05 13F15 13E05 14M05 14J99 PDFBibTeX XMLCite \textit{M. Hochster} and \textit{J. E. McLaughlin}, Ill. J. Math. 27, 94--103 (1983; Zbl 0488.13007)
Hochster, Melvin Associated graded rings derived from integrally closed ideals and the local homological conjectures. (English) Zbl 0479.13005 Colloq. d’algebre, Univ. Rennes I 1980, 1-27 (1980). MSC: 13H99 13H10 13H05 13A15 PDFBibTeX XML
Hochster, Melvin Principal ideal theorems. (English) Zbl 0441.13008 Ring theory, Proc., Waterloo/Canada 1978, Lect. Notes Math. 734, 174-206 (1979). MSC: 13C15 13F10 13A15 13E05 13H10 PDFBibTeX XML
Hochster, Melvin Big and small Cohen-Macaulay modules. (English) Zbl 0413.13014 Module theory, Pap. Probl. Spec. Sess. AMS, Univ. Washington, Proc., Seattle 1977, Lect. Notes Math. 700, 119-142 (1979). MSC: 13H15 13H10 13D99 PDFBibTeX XML
Hochster, Melvin Some applications of the Frobenius in characteristic 0. (English) Zbl 0421.14001 Bull. Am. Math. Soc. 84, 886-912 (1978). MSC: 14A05 13-02 13H10 14L24 14L30 14B12 13E05 PDFBibTeX XMLCite \textit{M. Hochster}, Bull. Am. Math. Soc. 84, 886--912 (1978; Zbl 0421.14001) Full Text: DOI
Hochster, Melvin; Roberts, Joel L. The purity of the Frobenius and local cohomology. (English) Zbl 0348.13007 Adv. Math. 21, 117-172 (1976). MSC: 13D99 13B99 13H10 14B15 PDFBibTeX XMLCite \textit{M. Hochster} and \textit{J. L. Roberts}, Adv. Math. 21, 117--172 (1976; Zbl 0348.13007) Full Text: DOI
Hochster, Melvin An obstruction to lifting cyclic modules. (English) Zbl 0335.13011 Pac. J. Math. 61, 457-463 (1975). MSC: 13H15 13B99 PDFBibTeX XMLCite \textit{M. Hochster}, Pac. J. Math. 61, 457--463 (1975; Zbl 0335.13011) Full Text: DOI
Hochster, Melvin Topics in the homological theory of modules over commutative rings. (English) Zbl 0302.13003 Conference Board of the Mathematical Sciences. Regional Conference Series in Mathematics. No. 24. Providence, R.I.: American Mathematical Society (AMS). VII, 75 p. $ 4.10 (1975). MSC: 13Cxx 13-01 13-02 13C15 13D99 13Hxx 20Gxx PDFBibTeX XML
Hochster, Melvin The equicharacteristic case of some homological conjectures on local rings. (English) Zbl 0289.13007 Bull. Am. Math. Soc. 80, 683-686 (1974). MSC: 13D99 13H99 13D05 PDFBibTeX XMLCite \textit{M. Hochster}, Bull. Am. Math. Soc. 80, 683--686 (1974; Zbl 0289.13007) Full Text: DOI
Hochster, Melvin; Roberts, Joel L. Actions of reductive groups on regular rings and Cohen-Macaulay rings. (English) Zbl 0279.14010 Bull. Am. Math. Soc. 80, 281-284 (1974). Reviewer: Melvin Hochster MSC: 14M05 13H10 13H05 20G05 14B15 PDFBibTeX XMLCite \textit{M. Hochster} and \textit{J. L. Roberts}, Bull. Am. Math. Soc. 80, 281--284 (1974; Zbl 0279.14010) Full Text: DOI
Eagon, John A.; Hochster, M. R-sequences and indeterminates. (English) Zbl 0278.13008 Q. J. Math., Oxf. II. Ser. 25, 61-71 (1974). MSC: 13D99 13F20 13C99 PDFBibTeX XMLCite \textit{J. A. Eagon} and \textit{M. Hochster}, Q. J. Math., Oxf. II. Ser. 25, 61--71 (1974; Zbl 0278.13008) Full Text: DOI
Hochster, M. Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes. (English) Zbl 0233.14010 Ann. Math. (2) 96, 318-337 (1972). MSC: 14M05 13D99 20G99 13H10 52Bxx 14J25 PDFBibTeX XML Full Text: DOI